非线性多输入多输出离散系统的量化H∞控制  

Quantized H_∞ control for nonlinear discrete-time MIMO systems

作　　者：杨艳华[1] 王武[2] 杨富文[2] 

机构地区：[1]泉州师范学院应用科技学院,福建泉州362000 [2]福州大学电气工程与自动化学院,福建福州350108

出　　处：《闽江学院学报》2009年第5期29-34,共6页Journal of Minjiang University

基　　金：福建省自然科学基金资助项目(2007J0018)

摘　　要：研究非线性多输入多输出离散系统的量化H∞动态输出反馈控制器设计问题.首先采用扇形界方法来描述对数量化器的量化误差,并且将量化问题转化为不确定系统的控制器设计问题.然后对于所有容许的非线性,设计动态输出反馈控制器使得闭环系统渐近稳定并具有给定的H∞性能约束,通过求解线性矩阵不等式求出控制器参数.最后,数值仿真表明设计方法的有效性.In this paper,the quantized H∞ dynamic output feedback controller design problem is investigated for nonlinear discrete-time MIMO systems.Firstly,the sector bound approach is used to describe the quantization error,and the problem is turned to the controller design problem of uncertainty systems.Secondly,the existence conditions for designing a dynamic output feedback controller such that,for all possible sector nonlinearity,the closed-loop system is asymptotically stable and satisfies the prescribed H∞ performance constraint,and controller parameters are designed by solving a linear matrix inequality（LMI）.Lastly,a numerical example is provided to demonstrate the validity of the proposed design approach.

关 键 词：对数量化 扇形界方法 非线性 MIMO系统 H∞动态输出反馈控制 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]